@brouhaha There are three effective at home ways to detect ketosis. None of them as far as I know would by themselves find ketoacidosis, but there are ways that you can be fairly certain of it.
First off the ways to test for ketone bodies in your system:
1) urine strips... these are by far the least accurate and worst way to do it. They are wildly effected by hydration and thus are wildly inaccurate
2) breath.. this approach is non invasive and costs nothing per-test once you have the disease. It is more accurate than urine stips but still wildly inaccurate as the results are usually effected by how fast you breath into the tube. So they tend to vary as well.
3) blood meters, they look identical to blood glucose meters however they test for ketones instead of glucose. You can also get meters that test multiple things like ketones and glucose and uric acid and lipids and all sorts of stuff.
As for distinguishing ketoacidosis from ketosis, the best way to do that is just to use a dual blood test for ketones and blood sugar. If you have extremely high blood sugar AND high ketone body count at the same time it is strongly indicative of ketoacidosis.